2x^2+3y-2z=12

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Solution for 2x^2+3y-2z=12 equation:


Simplifying
2x2 + 3y + -2z = 12

Solving
2x2 + 3y + -2z = 12

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3y' to each side of the equation.
2x2 + 3y + -3y + -2z = 12 + -3y

Combine like terms: 3y + -3y = 0
2x2 + 0 + -2z = 12 + -3y
2x2 + -2z = 12 + -3y

Add '2z' to each side of the equation.
2x2 + -2z + 2z = 12 + -3y + 2z

Combine like terms: -2z + 2z = 0
2x2 + 0 = 12 + -3y + 2z
2x2 = 12 + -3y + 2z

Divide each side by '2'.
x2 = 6 + -1.5y + z

Simplifying
x2 = 6 + -1.5y + z

Reorder the terms:
-6 + x2 + 1.5y + -1z = 6 + -1.5y + z + -6 + 1.5y + -1z

Reorder the terms:
-6 + x2 + 1.5y + -1z = 6 + -6 + -1.5y + 1.5y + z + -1z

Combine like terms: 6 + -6 = 0
-6 + x2 + 1.5y + -1z = 0 + -1.5y + 1.5y + z + -1z
-6 + x2 + 1.5y + -1z = -1.5y + 1.5y + z + -1z

Combine like terms: -1.5y + 1.5y = 0.0
-6 + x2 + 1.5y + -1z = 0.0 + z + -1z
-6 + x2 + 1.5y + -1z = z + -1z

Combine like terms: z + -1z = 0
-6 + x2 + 1.5y + -1z = 0

The solution to this equation could not be determined.

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